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Complex Numbers question

2020 · 3 Sep · Shift 2 · Q37

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2020 · 3 Sep · Shift 2 · Q37

Complex Numbers question

2020 · 3 Sep · Shift 2 · Q37

JEE MainMathematicsComplex NumbersMCQ+4 / −1

If z1 , z2 are complex numbers such that Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and arg(z1 - z2) =

{\pi \over 6}

, then Im(z1 + z2 ) is equal to :

A
${{\sqrt 3 } \over 2}$
B
${1 \over {\sqrt 3 }}$
C
${2 \over {\sqrt 3 }}$
D
${2\sqrt 3 }$

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